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398 lines
14 KiB
JavaScript
398 lines
14 KiB
JavaScript
// Copyright (c) 2013-2014, Jeffrey Wilcke. All rights reserved.
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//
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// This library is free software; you can redistribute it and/or
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// modify it under the terms of the GNU General Public
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// License as published by the Free Software Foundation; either
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// version 2.1 of the License, or (at your option) any later version.
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//
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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// General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this library; if not, write to the Free Software
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// Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
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// MA 02110-1301 USA
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var bigInt = (function () {
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var base = 10000000, logBase = 7;
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var sign = {
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positive: false,
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negative: true
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};
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var normalize = function (first, second) {
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var a = first.value, b = second.value;
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var length = a.length > b.length ? a.length : b.length;
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for (var i = 0; i < length; i++) {
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a[i] = a[i] || 0;
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b[i] = b[i] || 0;
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}
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for (var i = length - 1; i >= 0; i--) {
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if (a[i] === 0 && b[i] === 0) {
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a.pop();
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b.pop();
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} else break;
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}
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if (!a.length) a = [0], b = [0];
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first.value = a;
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second.value = b;
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};
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var parse = function (text, first) {
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if (typeof text === "object") return text;
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text += "";
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var s = sign.positive, value = [];
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if (text[0] === "-") {
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s = sign.negative;
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text = text.slice(1);
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}
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var base = 10;
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if (text.slice(0, 2) == "0x") {
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base = 16;
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text = text.slice(2);
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}
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else {
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var texts = text.split("e");
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if (texts.length > 2) throw new Error("Invalid integer");
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if (texts[1]) {
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var exp = texts[1];
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if (exp[0] === "+") exp = exp.slice(1);
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exp = parse(exp);
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if (exp.lesser(0)) throw new Error("Cannot include negative exponent part for integers");
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while (exp.notEquals(0)) {
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texts[0] += "0";
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exp = exp.prev();
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}
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}
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text = texts[0];
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}
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if (text === "-0") text = "0";
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text = text.toUpperCase();
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var isValid = (base == 16 ? /^[0-9A-F]*$/ : /^[0-9]+$/).test(text);
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if (!isValid) throw new Error("Invalid integer");
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if (base == 16) {
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var val = bigInt(0);
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while (text.length) {
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v = text.charCodeAt(0) - 48;
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if (v > 9)
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v -= 7;
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text = text.slice(1);
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val = val.times(16).plus(v);
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}
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return val;
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}
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else {
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while (text.length) {
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var divider = text.length > logBase ? text.length - logBase : 0;
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value.push(+text.slice(divider));
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text = text.slice(0, divider);
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}
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var val = bigInt(value, s);
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if (first) normalize(first, val);
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return val;
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}
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};
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var goesInto = function (a, b) {
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var a = bigInt(a, sign.positive), b = bigInt(b, sign.positive);
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if (a.equals(0)) throw new Error("Cannot divide by 0");
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var n = 0;
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do {
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var inc = 1;
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var c = bigInt(a.value, sign.positive), t = c.times(10);
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while (t.lesser(b)) {
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c = t;
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inc *= 10;
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t = t.times(10);
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}
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while (c.lesserOrEquals(b)) {
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b = b.minus(c);
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n += inc;
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}
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} while (a.lesserOrEquals(b));
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return {
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remainder: b.value,
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result: n
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};
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};
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var bigInt = function (value, s) {
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var self = {
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value: value,
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sign: s
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};
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var o = {
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value: value,
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sign: s,
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negate: function (m) {
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var first = m || self;
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return bigInt(first.value, !first.sign);
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},
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abs: function (m) {
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var first = m || self;
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return bigInt(first.value, sign.positive);
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},
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add: function (n, m) {
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var s, first = self, second;
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if (m) (first = parse(n)) && (second = parse(m));
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else second = parse(n, first);
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s = first.sign;
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if (first.sign !== second.sign) {
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first = bigInt(first.value, sign.positive);
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second = bigInt(second.value, sign.positive);
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return s === sign.positive ?
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o.subtract(first, second) :
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o.subtract(second, first);
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}
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normalize(first, second);
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var a = first.value, b = second.value;
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var result = [],
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carry = 0;
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for (var i = 0; i < a.length || carry > 0; i++) {
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var sum = (a[i] || 0) + (b[i] || 0) + carry;
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carry = sum >= base ? 1 : 0;
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sum -= carry * base;
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result.push(sum);
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}
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return bigInt(result, s);
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},
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plus: function (n, m) {
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return o.add(n, m);
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},
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subtract: function (n, m) {
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var first = self, second;
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if (m) (first = parse(n)) && (second = parse(m));
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else second = parse(n, first);
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if (first.sign !== second.sign) return o.add(first, o.negate(second));
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if (first.sign === sign.negative) return o.subtract(o.negate(second), o.negate(first));
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if (o.compare(first, second) === -1) return o.negate(o.subtract(second, first));
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var a = first.value, b = second.value;
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var result = [],
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borrow = 0;
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for (var i = 0; i < a.length; i++) {
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var tmp = a[i] - borrow;
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borrow = tmp < b[i] ? 1 : 0;
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var minuend = (borrow * base) + tmp - b[i];
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result.push(minuend);
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}
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return bigInt(result, sign.positive);
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},
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minus: function (n, m) {
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return o.subtract(n, m);
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},
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multiply: function (n, m) {
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var s, first = self, second;
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if (m) (first = parse(n)) && (second = parse(m));
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else second = parse(n, first);
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s = first.sign !== second.sign;
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var a = first.value, b = second.value;
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var resultSum = [];
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for (var i = 0; i < a.length; i++) {
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resultSum[i] = [];
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var j = i;
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while (j--) {
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resultSum[i].push(0);
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}
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}
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var carry = 0;
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for (var i = 0; i < a.length; i++) {
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var x = a[i];
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for (var j = 0; j < b.length || carry > 0; j++) {
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var y = b[j];
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var product = y ? (x * y) + carry : carry;
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carry = product > base ? Math.floor(product / base) : 0;
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product -= carry * base;
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resultSum[i].push(product);
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}
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}
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var max = -1;
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for (var i = 0; i < resultSum.length; i++) {
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var len = resultSum[i].length;
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if (len > max) max = len;
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}
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var result = [], carry = 0;
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for (var i = 0; i < max || carry > 0; i++) {
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var sum = carry;
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for (var j = 0; j < resultSum.length; j++) {
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sum += resultSum[j][i] || 0;
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}
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carry = sum > base ? Math.floor(sum / base) : 0;
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sum -= carry * base;
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result.push(sum);
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}
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return bigInt(result, s);
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},
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times: function (n, m) {
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return o.multiply(n, m);
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},
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divmod: function (n, m) {
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var s, first = self, second;
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if (m) (first = parse(n)) && (second = parse(m));
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else second = parse(n, first);
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s = first.sign !== second.sign;
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if (bigInt(first.value, first.sign).equals(0)) return {
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quotient: bigInt([0], sign.positive),
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remainder: bigInt([0], sign.positive)
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};
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if (second.equals(0)) throw new Error("Cannot divide by zero");
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var a = first.value, b = second.value;
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var result = [], remainder = [];
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for (var i = a.length - 1; i >= 0; i--) {
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var n = [a[i]].concat(remainder);
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var quotient = goesInto(b, n);
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result.push(quotient.result);
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remainder = quotient.remainder;
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}
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result.reverse();
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return {
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quotient: bigInt(result, s),
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remainder: bigInt(remainder, first.sign)
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};
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},
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divide: function (n, m) {
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return o.divmod(n, m).quotient;
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},
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over: function (n, m) {
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return o.divide(n, m);
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},
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mod: function (n, m) {
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return o.divmod(n, m).remainder;
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},
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pow: function (n, m) {
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var first = self, second;
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if (m) (first = parse(n)) && (second = parse(m));
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else second = parse(n, first);
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var a = first, b = second;
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if (b.lesser(0)) return ZERO;
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if (b.equals(0)) return ONE;
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var result = bigInt(a.value, a.sign);
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if (b.mod(2).equals(0)) {
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var c = result.pow(b.over(2));
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return c.times(c);
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} else {
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return result.times(result.pow(b.minus(1)));
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}
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},
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next: function (m) {
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var first = m || self;
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return o.add(first, 1);
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},
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prev: function (m) {
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var first = m || self;
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return o.subtract(first, 1);
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},
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compare: function (n, m) {
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var first = self, second;
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if (m) (first = parse(n)) && (second = parse(m, first));
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else second = parse(n, first);
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normalize(first, second);
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if (first.value.length === 1 && second.value.length === 1 && first.value[0] === 0 && second.value[0] === 0) return 0;
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if (second.sign !== first.sign) return first.sign === sign.positive ? 1 : -1;
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var multiplier = first.sign === sign.positive ? 1 : -1;
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var a = first.value, b = second.value;
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for (var i = a.length - 1; i >= 0; i--) {
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if (a[i] > b[i]) return 1 * multiplier;
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if (b[i] > a[i]) return -1 * multiplier;
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}
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return 0;
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},
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compareAbs: function (n, m) {
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var first = self, second;
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if (m) (first = parse(n)) && (second = parse(m, first));
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else second = parse(n, first);
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first.sign = second.sign = sign.positive;
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return o.compare(first, second);
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},
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equals: function (n, m) {
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return o.compare(n, m) === 0;
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},
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notEquals: function (n, m) {
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return !o.equals(n, m);
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},
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lesser: function (n, m) {
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return o.compare(n, m) < 0;
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},
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greater: function (n, m) {
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return o.compare(n, m) > 0;
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},
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greaterOrEquals: function (n, m) {
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return o.compare(n, m) >= 0;
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},
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lesserOrEquals: function (n, m) {
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return o.compare(n, m) <= 0;
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},
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isPositive: function (m) {
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var first = m || self;
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return first.sign === sign.positive;
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},
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isNegative: function (m) {
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var first = m || self;
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return first.sign === sign.negative;
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},
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isEven: function (m) {
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var first = m || self;
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return first.value[0] % 2 === 0;
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},
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isOdd: function (m) {
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var first = m || self;
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return first.value[0] % 2 === 1;
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},
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toString: function (m) {
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var first = m || self;
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var str = "", len = first.value.length;
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while (len--) {
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if (first.value[len].toString().length === 8) str += first.value[len];
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else str += (base.toString() + first.value[len]).slice(-logBase);
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}
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while (str[0] === "0") {
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str = str.slice(1);
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}
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if (!str.length) str = "0";
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var s = (first.sign === sign.positive || str == "0") ? "" : "-";
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return s + str;
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},
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toHex: function (m) {
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var first = m || self;
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var str = "";
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var l = this.abs();
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while (l > 0) {
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var qr = l.divmod(256);
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var b = qr.remainder.toJSNumber();
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str = (b >> 4).toString(16) + (b & 15).toString(16) + str;
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l = qr.quotient;
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}
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return (this.isNegative() ? "-" : "") + "0x" + str;
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},
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toJSNumber: function (m) {
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return +o.toString(m);
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},
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valueOf: function (m) {
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return o.toJSNumber(m);
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}
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};
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return o;
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};
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var ZERO = bigInt([0], sign.positive);
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var ONE = bigInt([1], sign.positive);
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var MINUS_ONE = bigInt([1], sign.negative);
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var fnReturn = function (a) {
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if (typeof a === "undefined") return ZERO;
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return parse(a);
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};
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fnReturn.zero = ZERO;
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fnReturn.one = ONE;
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fnReturn.minusOne = MINUS_ONE;
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return fnReturn;
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})();
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if (typeof module !== "undefined") {
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module.exports = bigInt;
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}
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